# The age of Man 5 years ago was seven times the age of his son.the ratio of thier ages after 5 years will be 3:1.find thier persent ages.

2
by noho

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by noho

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Five years ago,

Man's age = x- 5 yrs & son's age = y-5 yrs

According to Q, (x-5) = 7(y-5)

⇒ x-5 = 7y - 35

⇒ x = 7y - 30 .....(1)

Ratio of their ages after 3 yrs is given as 3:1

⇒ (x+5)/(y+5) = 3/1

⇒(x+5) = 3(y+5)

⇒ x+5 = 3y + 15

⇒ x = 3y + 10 ....(2)

Equating 1 & 2 we have

7y - 30 = 3y + 10

⇒ 4y = 40

⇒ y = 10

therefore, x = 3(10) + 10 = 40

Hence, present age of man is 40 yrs & present age of his son is 10 yrs.

The Brainliest Answer!

Please see the attachment.age of man is 40 years and age of son is 10 years.